Quasiperiodicity and 2D topology in 1D charge-ordered materials
The mathematical description of 1D quasicrystals has recently been linked to that of 2D quantum Hall states. The topological classification of 1D quasicrystals and the corresponding interpretation of their observed charge transport have been widely discussed. We demonstrate the equivalence of both 1...
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| Format: | Journal article |
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EPL Association
2015
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| _version_ | 1826270843568652288 |
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| author | Flicker, F Van Wezel, J |
| author_facet | Flicker, F Van Wezel, J |
| author_sort | Flicker, F |
| collection | OXFORD |
| description | The mathematical description of 1D quasicrystals has recently been linked to that of 2D quantum Hall states. The topological classification of 1D quasicrystals and the corresponding interpretation of their observed charge transport have been widely discussed. We demonstrate the equivalence of both 1D quasicrystals and 2D quantum Hall states to a mean-field treatment of charge order. Using the fractal nature of the spectrum of charge-ordered states we consider incommensurate order as a limit of commensurate. The topological properties of both are identical, arising from a 2D parameter space of phase and wave vector, and fit into class A of the Tenfold Way. The topological nature of all the systems can be tested by measuring a quantized particle transport upon dragging the charge order. |
| first_indexed | 2024-03-06T21:47:12Z |
| format | Journal article |
| id | oxford-uuid:4a028d85-e829-40f5-9b4c-e4847502604e |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:47:12Z |
| publishDate | 2015 |
| publisher | EPL Association |
| record_format | dspace |
| spelling | oxford-uuid:4a028d85-e829-40f5-9b4c-e4847502604e2022-03-26T15:35:05ZQuasiperiodicity and 2D topology in 1D charge-ordered materialsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4a028d85-e829-40f5-9b4c-e4847502604eSymplectic Elements at OxfordEPL Association2015Flicker, FVan Wezel, JThe mathematical description of 1D quasicrystals has recently been linked to that of 2D quantum Hall states. The topological classification of 1D quasicrystals and the corresponding interpretation of their observed charge transport have been widely discussed. We demonstrate the equivalence of both 1D quasicrystals and 2D quantum Hall states to a mean-field treatment of charge order. Using the fractal nature of the spectrum of charge-ordered states we consider incommensurate order as a limit of commensurate. The topological properties of both are identical, arising from a 2D parameter space of phase and wave vector, and fit into class A of the Tenfold Way. The topological nature of all the systems can be tested by measuring a quantized particle transport upon dragging the charge order. |
| spellingShingle | Flicker, F Van Wezel, J Quasiperiodicity and 2D topology in 1D charge-ordered materials |
| title | Quasiperiodicity and 2D topology in 1D charge-ordered materials |
| title_full | Quasiperiodicity and 2D topology in 1D charge-ordered materials |
| title_fullStr | Quasiperiodicity and 2D topology in 1D charge-ordered materials |
| title_full_unstemmed | Quasiperiodicity and 2D topology in 1D charge-ordered materials |
| title_short | Quasiperiodicity and 2D topology in 1D charge-ordered materials |
| title_sort | quasiperiodicity and 2d topology in 1d charge ordered materials |
| work_keys_str_mv | AT flickerf quasiperiodicityand2dtopologyin1dchargeorderedmaterials AT vanwezelj quasiperiodicityand2dtopologyin1dchargeorderedmaterials |